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Stochastic Comparisons of Series and Parallel‎ ‎Systems with Independent and Heterogeneous Components under the Generalized Linear Failure Rate
Ghobad Barmalzan , Abedin Haidari
Abstract:   (656 Views)

‎This paper examines the problem of stochastic‎ ‎comparisons of series and parallel systems with independent and heterogeneous components generalized linear failure rate‎. ‎First‎, ‎we consider two series system with possibly different parameters and obtain the usual stochastic order between the series systems‎. ‎Next‎, ‎we drive the usual stochastic order between parallel systems‎. ‎We also discuss the usual stochastic order between parallel systems by using the unordered majorization and the weighted majorization order between the parameters on the Ɗп.

Keywords: ‎Generalized Linear Failure Rate Distribution‎, ‎Order Statistics‎, ‎Unordered Majorization‎, ‎Usual Stochastic Order‎, ‎Weighted Majorization.
Full-Text [PDF 5241 kb]   (98 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2017/10/17 | Accepted: 2018/09/5
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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